Analysis of grating lens aberration.

Area of Science:

• Optics and Photonics
• Computational Physics
• Aberration Theory

Background:

• Traditional diffraction formulas often struggle with accuracy in non-sine condition focusing systems.
• Accurate modeling of diffraction is crucial for designing advanced optical elements.

Purpose of the Study:

• To propose and validate a new approximation method for diffraction formulas using coordinate transformation.
• To derive conditions for diffraction focus position applicable to various aberrations.

Main Methods:

• Approximating diffraction formulas via coordinate transformation to Fourier integral formulas.
• Deriving diffraction focus conditions using two methods: one for symmetrical aberrations and a general method using wave aberration standard deviation.
• Applying the methods to a grating lens to analyze chromatic and oblique incidence characteristics.

Main Results:

• The proposed coordinate transformation method offers a superior and more accurate approximation for diffraction formulas.
• The derived conditions effectively determine diffraction focus positions in systems with aberrations.
• Analysis of a grating lens demonstrates the method's utility in studying chromatic aberration and oblique incidence.

Conclusions:

• The coordinate transformation approach provides a significant advancement in approximating diffraction phenomena.
• This method enhances the accuracy of predicting diffraction focus, particularly in complex optical systems.
• The study validates the method's applicability to real-world optical components like grating lenses.